Wow, we're having a very similar problem with multiple connections drops each day.
One thing that's different is that we first noticed the issue when our neighbors signed up for FiOS next door. Before that, we never once had a dropped connection. We finally called in to complain 2 weeks ago and have gotten nowhere after 4 phone calls, 5 CS reps (1 of which was a supervisor), and 3 separate dispatches by a technician who has changed our router, ONT, splitter, and had us try a different coaxial cable.
We're still getting multiple connection drops per day, and ever since this problem started, we've been convinced that it's related to our neighbors getting service. In fact, the 2nd CS rep we spoke to said that our issue was probably caused by the installers accidentally knocking/loosening something on the line when they installed service next door, but nobody since then has given this theory any attention. Our neighbors even told us that they've had connection drops since the day they signed up. This further confirms our suspicion, but even with this information, Verizon refuses to acknowledge the possibility that the issue is related to my neighbor.
As such, they will not climb the pole to check the equipment - their tests show that the service should be working perfectly. They've told me that the problem must be originating from within my internal network. They tapped into my router and said that I might have "too many devices" connected. They also said that my main computer seems to be requesting "too many IP addresses" (huh?) and that there's an "IP address conflict" (how so? all of my devices connect just fine, and not only that, but my problems persist even when I remove my main computer from the equation completely). This is the closest they have come to a solution. Since their tests show that everything is fine on Verizon's end, they told me that I would be liable to pay for the repair cost to have a supervisor technician come out to climb the pole and check the connections up there.
That was the breaking point for me. The fact that I've reached a dead end with these guys is beyond frustrating. I'm about to cancel service but thought I'd check the forums before jumping ship.
Again, my issue is very similar to the one described here with the exception being that I'm fairly sure it's related to my neighbor getting service. Another minor difference is that while my original router would reboot itself during some of the connection drops (not all), the replacement router installed last week by my technician does not reboot itself even when we lose connection.
I'm hoping we can get to the bottom of something here. I'll be sure to keep up with this over the next couple of days to see if there are any developments.